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A rocket has a total mass of 1.12 105 kg and a burnout mass of 1.09 104 kg, including engines, shell and payload. The rocket blasts off from Earth and exhausts all its fuel in 3.99 min, burning the fuel at a steady rate with an exhaust velocity of ve = 4.90 103 m/s.
(a) If air friction and gravity are neglected, what is the speed of the rocket at burnout?
m/s
(b) What thrust does the engine develop at liftoff?
N
(c) What is the initial acceleration of the rocket if gravity is not neglected?
m/s2
(d) Estimate the speed at burnout if gravity isn't neglected.
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